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Finding the Fourth Proportional to 800.71, 1,200.82 and 430.29

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Solution

The fourth proportional to 800.71, 1,200.82 and 430.29 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.71 : 1,200.82 = 430.29 : x
  2. Step 2: Convert to fraction form
    800.71/1,200.82 = 430.29/x
  3. Step 3: Cross multiply
    800.71x = 1,200.82 × 430.29
  4. Step 4: Simplify right side
    800.71x = 516,694.83
  5. Step 5: Solve for x
    x = 516,694.83/800.71
  6. Step 6: Final answer
    x = 645.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.